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20314132020 = 223357131014093
BaseRepresentation
bin10010111010110100…
…010000111000110100
31221102201121211101000
4102322310100320310
5313100404211040
613155430203300
71316255162460
oct227264207064
957381554330
1020314132020
118684886066
123b2b1b3530
131bb97b2c80
14da9cd74a0
157dd61c130
hex4bad10e34

20314132020 has 384 divisors, whose sum is σ = 78573358080. Its totient is φ = 4242585600.

The previous prime is 20314131907. The next prime is 20314132021. The reversal of 20314132020 is 2023141302.

20314132020 is a `hidden beast` number, since 20 + 31 + 413 + 202 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20314131984 and 20314132002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20314132021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4961094 + ... + 4965186.

It is an arithmetic number, because the mean of its divisors is an integer number (204618120).

Almost surely, 220314132020 is an apocalyptic number.

20314132020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20314132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39286679040).

20314132020 is an abundant number, since it is smaller than the sum of its proper divisors (58259226060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20314132020 is a wasteful number, since it uses less digits than its factorization.

20314132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4232 (or 4224 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20314132020 its reverse (2023141302), we get a palindrome (22337273322).

The spelling of 20314132020 in words is "twenty billion, three hundred fourteen million, one hundred thirty-two thousand, twenty".